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Infinite Correlation in Measured Quantum Processes

Karoline Wiesner·James P. Crutchfield
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Abstract

We show that quantum dynamical systems can exhibit infinite correlations in their behavior when repeatedly measured. We model quantum processes using quantum finite-state generators and take the stochastic language they generate as a representation of their behavior. We analyze two spin-1 quantum systems that differ only in how they are observed. The corresponding language generated has short-range correlation in one case and infinite correlation in the other.

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Karoline Wiesner, James P. Crutchfield. 2006-11-14. Infinite Correlation in Measured Quantum Processes. https://arxiv.org/abs/quant-ph/0611143

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